Factorial, multifractal moments and short-range correlation of shower particles at relativistic energies

We have computed factorial, F_q, and the multifractal, G_q, moments for the shower particles produced in the interactions of ¹⁹⁷Au emulsion at 10.6 A GeV and ²⁸Siemulsion at 14.5 A GeV in terms of a new scaled variable X suggested by Bialas and Gazdzicki. Power-law dependencies of the moments on the number of bins M of the new variable ( X) are observed in pseudorapidity η as well as in two-dimensional product (η·φ) phase spaces. The exponents φ_q for F_q, and τ_q for G_q moments are determined and their relationships are discussed. The normalized factorial moments of the multiplicity distribution exhibit universal scaling behavior. When ordinary factorial moments are decomposed into cumulant moments, we find that for ¹⁹⁷Au ions the cumulant moments of order three are non-zero, contrary to the observations of most of the relativistic heavy-ion beams used so far.